Swiss-Cheese Operad and Drinfeld Center

Author(s): Najib Idrissi
Publication: In: Israel J. Math. (2017) 221.2, pp. 941–972.
Online on: July 24, 2015
Updated on: January 10, 2017
Accepted on: January 10, 2017

Full text DOI:10.1007/s11856-017-1579-7 arXiv:1507.06844 hal-01438863 MR3704940 Zbl 06808424 Source

Abstract

We build a model in groupoids for the Swiss-Cheese operad, based on parenthesized permutations and braids, and we relate algebras over this model to the classical description of algebras over the homology of the Swiss-Cheese operad. We extend our model to a rational model for the Swiss-Cheese operad, and we compare it to the model that we would get if the operad Swiss-Cheese were formal.